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Finding the Third Proportional to 2,118.66 and 3,223.55

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Solution

The third proportional to 2,118.66 and 3,223.55 is: 4,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.66 : 3,223.55 = 3,223.55 : x
  2. Step 2: Convert to fraction form
    2,118.66/3,223.55 = 3,223.55/x
  3. Step 3: Cross multiply
    2,118.66x = 3,223.55 × 3,223.55
  4. Step 4: Simplify right side
    2,118.66x = 10,391,254.46
  5. Step 5: Solve for x
    x = 10,391,254.46/2,118.66
  6. Step 6: Final answer
    x = 4,904.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.